Cops investigate the glass-strewn accident scene yesterday in front of the smashed-up police van that hit a car. Diamond Nicholas, 6 (inset) was in a medically induced coma and his brother, 10, was hurt.

A police van crashed into a schoolteacher’s car in Brooklyn yesterday, sending her two young kids flying out the window and seriously injuring one of them.

The teacher’s 6-year-old son, spattered with blood and broken glass, was in a medically induced coma at Brookdale Hospital.

“My kids! My kids!” cried his dazed mother, Pearl Nicholas, as she tried to comfort the boy, Diamond, and his brother Raven, 10, moments after the horrific crash in Brownsville.

The cops in the van, with lights flashing and siren blazing, was rushing to help another officer searching for a gunman who wounded a victim on Sutter Avenue just before 4:30 p.m.

At Blake Avenue and Amboy Street, their van smashed into the passenger side of Nicholas’s green Jeep, sending it spinning into a lamppost and then into a chain-link fence.

Witnesses said the two children, who are students at PS 221 where their mother is a substitute teacher, were ejected about 20 feet and landed on the sidewalk.

“They flew straight out the window,” said Noel Beck, 48, a security guard who lives on the block.

Everyone in the car had been wearing seatbelts, said the kids’ aunt, Kathy Nichols. Cops said they’re checking that report.

The Nicholas family had moved to the block where the accident happened only two months ago.

The boys’ older sister, Bena, was home when she heard “a boom” and went to see what happened.

“We thought it was a truck hitting a pothole,” Bena, 13, said. “We didn’t know who they were until we got close.”

“I said ‘That’s my little brothers!’ ” she said. “It looked like they were dead.”

The mother also thought Diamond had died, according to their aunt.

“I said, ‘No, Pearl. He didn’t die.’ ”

But the child faces a tough recovery, the sister said. “Diamond is in a coma. His head is swollen,” she said. “Everything is swollen.”

Raven was “up and talking” while Pearl was “in pain” the sister said. They were in stable condition at Brookdale.

Pearl “didn’t know where the van came from and it just hit her,” Kathy Nicholas said, adding, “she told me she had right of way.”

The cause of the crash is under investigation.

The five cops in the van suffered injuries that included broken bones. Before an ambulance arrived, two of the officers picked up the injured children and drove them to the hospital.

The boys’ father, a school bus driver, arrived home to see the chaos on the street, witnesses said. He staggered away after being told by a cop what had happened.